2. Professors
  3. SOFTOVA PALAGACHEVA Lyoubomira
  4. Teaching

REGOLARITÀ DELLE SOLUZIONI DI EQUAZIONI ELLITTICHE CON COEFFICIENTI DISCONTINUE

Lyoubomira SOFTOVA PALAGACHEVA REGOLARITÀ DELLE SOLUZIONI DI EQUAZIONI ELLITTICHE CON COEFFICIENTI DISCONTINUE

8860300033
DEPARTMENT OF MATHEMATICS
Corso di Dottorato (D.M.226/2021)
MATHEMATICS
2023/2024

YEAR OF COURSE 1
YEAR OF DIDACTIC SYSTEM 2023
FULL ACADEMIC YEAR
CFUHOURSACTIVITY
210LESSONS
LYOUBOMIRA SOFTOVA PALAGACHEVA T Curriculum
Objectives
REGULARITY OF THE SOLUTIONS OF LINEAR ELLIPTIC PDES WITH DISCONTINUOUS COEFFICIENTS
Prerequisites
ORDINARY DIFFERENTIAL EQUATIONS, PARTIAL DIFFERENTIAL EQUATIONS, THE THEORY OF LEBESGUE AND SOBOLEV SPACES.
Contents
FUNCTION SPACES: THE MORREY, CAMPANATO AND MORREY-SOBOLEV SPACES. FUNCTIONS BMO AND VMO.
SINGULAR INTEGRALS: CALDERÒN-ZYGMUND INTEGRALS AND COMMUTATORS WITH NON-VARIABLE KERNEL. SINGULAR INTEGRALS WITH VARIABLE KERNEL.
LINEAR ELLIPTIC PDES WITH VMO COEFFICIENTS: INTERIOR REPRESENTATION FORMULA FOR THE SOLUTIONS, THE DIRICHLET PROBLEM, BOUNDARY REPRESENTATION FORMULA.
OTHER RESULTS ON ELLIPTIC OPERATORS.
Teaching Methods
LECTURES.
Verification of learning
ORAL EXAM.
Texts
NOTES.
More Information
LSOFTOVA@UNISA.IT
LBSOFTOVA@YAHOO.COM
  BETA VERSION Data source ESSE3 [Ultima Sincronizzazione: 2024-12-17]